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Bei ",[574,3233,3235,3252],{"className":3234},[577],[574,3236,3238],{"className":3237},[581],[583,3239,3240],{"xmlns":585},[587,3241,3242,3250],{},[590,3243,3244],{},[955,3245,3246,3248],{},[603,3247,1223],{},[794,3249,961],{},[607,3251,1228],{"encoding":609},[574,3253,3255],{"className":3254,"ariaHidden":615},[614],[574,3256,3258,3261,3264],{"className":3257},[619],[574,3259],{"className":3260,"style":974},[623],[574,3262,1241],{"className":3263},[628],[574,3265,3267,3270],{"className":3266},[628],[574,3268,799],{"className":3269},[628],[574,3271,3273],{"className":3272},[984],[574,3274,3276],{"className":3275},[640],[574,3277,3279],{"className":3278},[645],[574,3280,3282],{"className":3281,"style":974},[649],[574,3283,3284,3287],{"style":996},[574,3285],{"className":3286,"style":1000},[657],[574,3288,3290],{"className":3289},[662,663,664,665],[574,3291,961],{"className":3292},[1007,665]," ist ",[574,3295,3297,3319],{"className":3296},[577],[574,3298,3300],{"className":3299},[581],[583,3301,3302],{"xmlns":585},[587,3303,3304,3316],{},[590,3305,3306,3308,3310,3312,3314],{},[599,3307,2239],{},[794,3309,1737],{},[599,3311,923],{},[794,3313,796],{},[603,3315,799],{},[607,3317,3318],{"encoding":609},"\\cos \\alpha = 0",[574,3320,3322,3346],{"className":3321,"ariaHidden":615},[614],[574,3323,3325,3328,3331,3334,3337,3340,3343],{"className":3324},[619],[574,3326],{"className":3327,"style":832},[623],[574,3329,2239],{"className":3330},[1756],[574,3332],{"className":3333,"style":865},[839],[574,3335,923],{"className":3336,"style":939},[628,724],[574,3338],{"className":3339,"style":840},[839],[574,3341,796],{"className":3342},[844],[574,3344],{"className":3345,"style":840},[839],[574,3347,3349,3352],{"className":3348},[619],[574,3350],{"className":3351,"style":1307},[623],[574,3353,799],{"className":3354},[628],", dort gibt es keinen Tangens.",[560,3357,3359],{"id":3358},"herleitung","Herleitung",[3361,3362,3363,3825],"ul",{},[3364,3365,3366,3369,3370,3398,3399,3474,3475,3824],"li",{},[569,3367,3368],{},"45°",": Ein Quadrat mit Seite ",[574,3371,3373,3386],{"className":3372},[577],[574,3374,3376],{"className":3375},[581],[583,3377,3378],{"xmlns":585},[587,3379,3380,3384],{},[590,3381,3382],{},[603,3383,805],{},[607,3385,805],{"encoding":609},[574,3387,3389],{"className":3388,"ariaHidden":615},[614],[574,3390,3392,3395],{"className":3391},[619],[574,3393],{"className":3394,"style":1307},[623],[574,3396,805],{"className":3397},[628]," hat die Diagonale ",[574,3400,3402,3418],{"className":3401},[577],[574,3403,3405],{"className":3404},[581],[583,3406,3407],{"xmlns":585},[587,3408,3409,3415],{},[590,3410,3411],{},[596,3412,3413],{},[603,3414,605],{},[607,3416,3417],{"encoding":609},"\\sqrt{2}",[574,3419,3421],{"className":3420,"ariaHidden":615},[614],[574,3422,3424,3427],{"className":3423},[619],[574,3425],{"className":3426,"style":2995},[623],[574,3428,3430],{"className":3429},[628,698],[574,3431,3433,3466],{"className":3432},[640,641],[574,3434,3436,3463],{"className":3435},[645],[574,3437,3439,3451],{"className":3438,"style":3008},[649],[574,3440,3442,3445],{"className":3441,"style":713},[712],[574,3443],{"className":3444,"style":658},[657],[574,3446,3448],{"className":3447,"style":720},[628],[574,3449,605],{"className":3450},[628],[574,3452,3453,3456],{"style":3023},[574,3454],{"className":3455,"style":658},[657],[574,3457,3459],{"className":3458,"style":735},[734],[737,3460,3461],{"xmlns":739,"width":740,"height":741,"viewBox":742,"preserveAspectRatio":743},[745,3462],{"d":747},[574,3464,752],{"className":3465},[751],[574,3467,3469],{"className":3468},[645],[574,3470,3472],{"className":3471,"style":3043},[649],[574,3473],{},". Im halben Quadrat ist ",[574,3476,3478,3520],{"className":3477},[577],[574,3479,3481],{"className":3480},[581],[583,3482,3483],{"xmlns":585},[587,3484,3485,3517],{},[590,3486,3487,3489,3491,3497,3499,3507,3509],{},[599,3488,1734],{},[794,3490,1737],{},[955,3492,3493,3495],{},[603,3494,1091],{},[794,3496,961],{},[794,3498,796],{},[593,3500,3501,3503],{},[603,3502,805],{},[596,3504,3505],{},[603,3506,605],{},[794,3508,796],{},[593,3510,3511,3515],{},[596,3512,3513],{},[603,3514,605],{},[603,3516,605],{},[607,3518,3519],{"encoding":609},"\\sin 45^\\circ = \\frac{1}{\\sqrt{2}} = 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und 60°",": Ein gleichseitiges Dreieck mit Seite ",[574,3832,3834,3847],{"className":3833},[577],[574,3835,3837],{"className":3836},[581],[583,3838,3839],{"xmlns":585},[587,3840,3841,3845],{},[590,3842,3843],{},[603,3844,605],{},[607,3846,605],{"encoding":609},[574,3848,3850],{"className":3849,"ariaHidden":615},[614],[574,3851,3853,3856],{"className":3852},[619],[574,3854],{"className":3855,"style":1307},[623],[574,3857,605],{"className":3858},[628]," wird durch die Höhe halbiert. Es entsteht ein rechtwinkliges Dreieck mit den Seiten ",[574,3861,3863,3876],{"className":3862},[577],[574,3864,3866],{"className":3865},[581],[583,3867,3868],{"xmlns":585},[587,3869,3870,3874],{},[590,3871,3872],{},[603,3873,805],{},[607,3875,805],{"encoding":609},[574,3877,3879],{"className":3878,"ariaHidden":615},[614],[574,3880,3882,3885],{"className":3881},[619],[574,3883],{"className":3884,"style":1307},[623],[574,3886,805],{"className":3887},[628],", ",[574,3890,3892,3929],{"className":3891},[577],[574,3893,3895],{"className":3894},[581],[583,3896,3897],{"xmlns":585},[587,3898,3899,3926],{},[590,3900,3901,3920,3922],{},[596,3902,3903],{},[590,3904,3905,3911,3914],{},[955,3906,3907,3909],{},[603,3908,605],{},[603,3910,605],{},[794,3912,3913],{},"−",[955,3915,3916,3918],{},[603,3917,805],{},[603,3919,605],{},[794,3921,796],{},[596,3923,3924],{},[603,3925,814],{},[607,3927,3928],{"encoding":609},"\\sqrt{2^2 - 1^2} = \\sqrt{3}",[574,3930,3932,4065],{"className":3931,"ariaHidden":615},[614],[574,3933,3935,3939,4056,4059,4062],{"className":3934},[619],[574,3936],{"className":3937,"style":3938},[623],"height:1.04em;vertical-align:-0.1266em;",[574,3940,3942],{"className":3941},[628,698],[574,3943,3945,4047],{"className":3944},[640,641],[574,3946,3948,4044],{"className":3947},[645],[574,3949,3952,4031],{"className":3950,"style":3951},[649],"height:0.9134em;",[574,3953,3955,3958],{"className":3954,"style":713},[712],[574,3956],{"className":3957,"style":658},[657],[574,3959,3961,3992,3996,3999,4002],{"className":3960,"style":720},[628],[574,3962,3964,3967],{"className":3963},[628],[574,3965,605],{"className":3966},[628],[574,3968,3970],{"className":3969},[984],[574,3971,3973],{"className":3972},[640],[574,3974,3976],{"className":3975},[645],[574,3977,3980],{"className":3978,"style":3979},[649],"height:0.7401em;",[574,3981,3983,3986],{"style":3982},"top:-2.989em;margin-right:0.05em;",[574,3984],{"className":3985,"style":1000},[657],[574,3987,3989],{"className":3988},[662,663,664,665],[574,3990,605],{"className":3991},[628,665],[574,3993],{"className":3994,"style":3995},[839],"margin-right:0.2222em;",[574,3997,3913],{"className":3998},[1007],[574,4000],{"className":4001,"style":3995},[839],[574,4003,4005,4008],{"className":4004},[628],[574,4006,805],{"className":4007},[628],[574,4009,4011],{"className":4010},[984],[574,4012,4014],{"className":4013},[640],[574,4015,4017],{"className":4016},[645],[574,4018,4020],{"className":4019,"style":3979},[649],[574,4021,4022,4025],{"style":3982},[574,4023],{"className":4024,"style":1000},[657],[574,4026,4028],{"className":4027},[662,663,664,665],[574,4029,605],{"className":4030},[628,665],[574,4032,4034,4037],{"style":4033},"top:-2.8734em;",[574,4035],{"className":4036,"style":658},[657],[574,4038,4040],{"className":4039,"style":735},[734],[737,4041,4042],{"xmlns":739,"width":740,"height":741,"viewBox":742,"preserveAspectRatio":743},[745,4043],{"d":747},[574,4045,752],{"className":4046},[751],[574,4048,4050],{"className":4049},[645],[574,4051,4054],{"className":4052,"style":4053},[649],"height:0.1266em;",[574,4055],{},[574,4057],{"className":4058,"style":840},[839],[574,4060,796],{"className":4061},[844],[574,4063],{"className":4064,"style":840},[839],[574,4066,4068,4071],{"className":4067},[619],[574,4069],{"className":4070,"style":2995},[623],[574,4072,4074],{"className":4073},[628,698],[574,4075,4077,4110],{"className":4076},[640,641],[574,4078,4080,4107],{"className":4079},[645],[574,4081,4083,4095],{"className":4082,"style":3008},[649],[574,4084,4086,4089],{"className":4085,"style":713},[712],[574,4087],{"className":4088,"style":658},[657],[574,4090,4092],{"className":4091,"style":720},[628],[574,4093,814],{"className":4094},[628],[574,4096,4097,4100],{"style":3023},[574,4098],{"className":4099,"style":658},[657],[574,4101,4103],{"className":4102,"style":735},[734],[737,4104,4105],{"xmlns":739,"width":740,"height":741,"viewBox":742,"preserveAspectRatio":743},[745,4106],{"d":747},[574,4108,752],{"className":4109},[751],[574,4111,4113],{"className":4112},[645],[574,4114,4116],{"className":4115,"style":3043},[649],[574,4117],{}," und ",[574,4120,4122,4135],{"className":4121},[577],[574,4123,4125],{"className":4124},[581],[583,4126,4127],{"xmlns":585},[587,4128,4129,4133],{},[590,4130,4131],{},[603,4132,605],{},[607,4134,605],{"encoding":609},[574,4136,4138],{"className":4137,"ariaHidden":615},[614],[574,4139,4141,4144],{"className":4140},[619],[574,4142],{"className":4143,"style":1307},[623],[574,4145,605],{"className":4146},[628],". Daraus folgen ",[574,4149,4151,4181],{"className":4150},[577],[574,4152,4154],{"className":4153},[581],[583,4155,4156],{"xmlns":585},[587,4157,4158,4178],{},[590,4159,4160,4162,4164,4170,4172],{},[599,4161,1734],{},[794,4163,1737],{},[955,4165,4166,4168],{},[603,4167,1026],{},[794,4169,961],{},[794,4171,796],{},[593,4173,4174,4176],{},[603,4175,805],{},[603,4177,605],{},[607,4179,4180],{"encoding":609},"\\sin 30^\\circ = \\frac{1}{2}",[574,4182,4184,4237],{"className":4183,"ariaHidden":615},[614],[574,4185,4187,4190,4193,4196,4199,4228,4231,4234],{"className":4186},[619],[574,4188],{"className":4189,"style":974},[623],[574,4191,1734],{"className":4192},[1756],[574,4194],{"className":4195,"style":865},[839],[574,4197,814],{"className":4198},[628],[574,4200,4202,4205],{"className":4201},[628],[574,4203,799],{"className":4204},[628],[574,4206,4208],{"className":4207},[984],[574,4209,4211],{"className":4210},[640],[574,4212,4214],{"className":4213},[645],[574,4215,4217],{"className":4216,"style":974},[649],[574,4218,4219,4222],{"style":996},[574,4220],{"className":4221,"style":1000},[657],[574,4223,4225],{"className":4224},[662,663,664,665],[574,4226,961],{"className":4227},[1007,665],[574,4229],{"className":4230,"style":840},[839],[574,4232,796],{"className":4233},[844],[574,4235],{"className":4236,"style":840},[839],[574,4238,4240,4243],{"className":4239},[619],[574,4241],{"className":4242,"style":1825},[623],[574,4244,4246,4249,4308],{"className":4245},[628],[574,4247],{"className":4248},[632,633],[574,4250,4252],{"className":4251},[593],[574,4253,4255,4300],{"className":4254},[640,641],[574,4256,4258,4297],{"className":4257},[645],[574,4259,4261,4275,4283],{"className":4260,"style":1844},[649],[574,4262,4263,4266],{"style":653},[574,4264],{"className":4265,"style":658},[657],[574,4267,4269],{"className":4268},[662,663,664,665],[574,4270,4272],{"className":4271},[628,665],[574,4273,605],{"className":4274},[628,665],[574,4276,4277,4280],{"style":674},[574,4278],{"className":4279,"style":658},[657],[574,4281],{"className":4282,"style":682},[681],[574,4284,4285,4288],{"style":1388},[574,4286],{"className":4287,"style":658},[657],[574,4289,4291],{"className":4290},[662,663,664,665],[574,4292,4294],{"className":4293},[628,665],[574,4295,805],{"className":4296},[628,665],[574,4298,752],{"className":4299},[751],[574,4301,4303],{"className":4302},[645],[574,4304,4306],{"className":4305,"style":771},[649],[574,4307],{},[574,4309],{"className":4310},[777,633],[574,4312,4314,4346],{"className":4313},[577],[574,4315,4317],{"className":4316},[581],[583,4318,4319],{"xmlns":585},[587,4320,4321,4343],{},[590,4322,4323,4325,4327,4333,4335],{},[599,4324,1734],{},[794,4326,1737],{},[955,4328,4329,4331],{},[603,4330,1157],{},[794,4332,961],{},[794,4334,796],{},[593,4336,4337,4341],{},[596,4338,4339],{},[603,4340,814],{},[603,4342,605],{},[607,4344,4345],{"encoding":609},"\\sin 60^\\circ = \\frac{\\sqrt{3}}{2}",[574,4347,4349,4402],{"className":4348,"ariaHidden":615},[614],[574,4350,4352,4355,4358,4361,4364,4393,4396,4399],{"className":4351},[619],[574,4353],{"className":4354,"style":974},[623],[574,4356,1734],{"className":4357},[1756],[574,4359],{"className":4360,"style":865},[839],[574,4362,1175],{"className":4363},[628],[574,4365,4367,4370],{"className":4366},[628],[574,4368,799],{"className":4369},[628],[574,4371,4373],{"className":4372},[984],[574,4374,4376],{"className":4375},[640],[574,4377,4379],{"className":4378},[645],[574,4380,4382],{"className":4381,"style":974},[649],[574,4383,4384,4387],{"style":996},[574,4385],{"className":4386,"style":1000},[657],[574,4388,4390],{"className":4389},[662,663,664,665],[574,4391,961],{"className":4392},[1007,665],[574,4394],{"className":4395,"style":840},[839],[574,4397,796],{"className":4398},[844],[574,4400],{"className":4401,"style":840},[839],[574,4403,4405,4408],{"className":4404},[619],[574,4406],{"className":4407,"style":624},[623],[574,4409,4411,4414,4517],{"className":4410},[628],[574,4412],{"className":4413},[632,633],[574,4415,4417],{"className":4416},[593],[574,4418,4420,4509],{"className":4419},[640,641],[574,4421,4423,4506],{"className":4422},[645],[574,4424,4426,4440,4448],{"className":4425,"style":650},[649],[574,4427,4428,4431],{"style":653},[574,4429],{"className":4430,"style":658},[657],[574,4432,4434],{"className":4433},[662,663,664,665],[574,4435,4437],{"className":4436},[628,665],[574,4438,605],{"className":4439},[628,665],[574,4441,4442,4445],{"style":674},[574,4443],{"className":4444,"style":658},[657],[574,4446],{"className":4447,"style":682},[681],[574,4449,4450,4453],{"style":1971},[574,4451],{"className":4452,"style":658},[657],[574,4454,4456],{"className":4455},[662,663,664,665],[574,4457,4459],{"className":4458},[628,665],[574,4460,4462],{"className":4461},[628,698,665],[574,4463,4465,4498],{"className":4464},[640,641],[574,4466,4468,4495],{"className":4467},[645],[574,4469,4471,4483],{"className":4470,"style":1993},[649],[574,4472,4474,4477],{"className":4473,"style":713},[712],[574,4475],{"className":4476,"style":658},[657],[574,4478,4480],{"className":4479,"style":720},[628,665],[574,4481,814],{"className":4482},[628,665],[574,4484,4485,4488],{"style":2008},[574,4486],{"className":4487,"style":658},[657],[574,4489,4491],{"className":4490,"style":735},[734,665],[737,4492,4493],{"xmlns":739,"width":740,"height":741,"viewBox":742,"preserveAspectRatio":743},[745,4494],{"d":747},[574,4496,752],{"className":4497},[751],[574,4499,4501],{"className":4500},[645],[574,4502,4504],{"className":4503,"style":2028},[649],[574,4505],{},[574,4507,752],{"className":4508},[751],[574,4510,4512],{"className":4511},[645],[574,4513,4515],{"className":4514,"style":771},[649],[574,4516],{},[574,4518],{"className":4519},[777,633],[560,4521,4523],{"id":4522},"beispiele","Beispiele",[565,4525,4526,4527,4574,4575,4636],{},"In einem rechtwinkligen Dreieck ist die Hypotenuse ",[574,4528,4530,4552],{"className":4529},[577],[574,4531,4533],{"className":4532},[581],[583,4534,4535],{"xmlns":585},[587,4536,4537,4549],{},[590,4538,4539,4542,4546],{},[603,4540,4541],{},"10",[4543,4544,4545],"mtext",{}," ",[4543,4547,4548],{},"cm",[607,4550,4551],{"encoding":609},"10\\,\\text{cm}",[574,4553,4555],{"className":4554,"ariaHidden":615},[614],[574,4556,4558,4561,4564,4567],{"className":4557},[619],[574,4559],{"className":4560,"style":1307},[623],[574,4562,4541],{"className":4563},[628],[574,4565],{"className":4566,"style":865},[839],[574,4568,4571],{"className":4569},[628,4570],"text",[574,4572,4548],{"className":4573},[628]," lang, ein Winkel beträgt ",[574,4576,4578,4595],{"className":4577},[577],[574,4579,4581],{"className":4580},[581],[583,4582,4583],{"xmlns":585},[587,4584,4585,4593],{},[590,4586,4587],{},[955,4588,4589,4591],{},[603,4590,1026],{},[794,4592,961],{},[607,4594,1031],{"encoding":609},[574,4596,4598],{"className":4597,"ariaHidden":615},[614],[574,4599,4601,4604,4607],{"className":4600},[619],[574,4602],{"className":4603,"style":974},[623],[574,4605,814],{"className":4606},[628],[574,4608,4610,4613],{"className":4609},[628],[574,4611,799],{"className":4612},[628],[574,4614,4616],{"className":4615},[984],[574,4617,4619],{"className":4618},[640],[574,4620,4622],{"className":4621},[645],[574,4623,4625],{"className":4624,"style":974},[649],[574,4626,4627,4630],{"style":996},[574,4628],{"className":4629,"style":1000},[657],[574,4631,4633],{"className":4632},[662,663,664,665],[574,4634,961],{"className":4635},[1007,665],". Die Gegenkathete ist",[574,4638,4641],{"className":4639},[4640],"katex-display",[574,4642,4644,4692],{"className":4643},[577],[574,4645,4647],{"className":4646},[581],[583,4648,4650],{"xmlns":585,"display":4649},"block",[587,4651,4652,4689],{},[590,4653,4654,4656,4659,4661,4663,4669,4671,4673,4675,4681,4683,4685,4687],{},[603,4655,4541],{},[794,4657,4658],{},"⋅",[599,4660,1734],{},[794,4662,1737],{},[955,4664,4665,4667],{},[603,4666,1026],{},[794,4668,961],{},[794,4670,796],{},[603,4672,4541],{},[794,4674,4658],{},[593,4676,4677,4679],{},[603,4678,805],{},[603,4680,605],{},[794,4682,796],{},[603,4684,1115],{},[4543,4686,4545],{},[4543,4688,4548],{},[607,4690,4691],{"encoding":609},"10 \\cdot \\sin 30^\\circ = 10 \\cdot \\frac{1}{2} = 5\\,\\text{cm}",[574,4693,4695,4713,4768,4786,4868],{"className":4694,"ariaHidden":615},[614],[574,4696,4698,4701,4704,4707,4710],{"className":4697},[619],[574,4699],{"className":4700,"style":1307},[623],[574,4702,4541],{"className":4703},[628],[574,4705],{"className":4706,"style":3995},[839],[574,4708,4658],{"className":4709},[1007],[574,4711],{"className":4712,"style":3995},[839],[574,4714,4716,4720,4723,4726,4729,4759,4762,4765],{"className":4715},[619],[574,4717],{"className":4718,"style":4719},[623],"height:0.7241em;",[574,4721,1734],{"className":4722},[1756],[574,4724],{"className":4725,"style":865},[839],[574,4727,814],{"className":4728},[628],[574,4730,4732,4735],{"className":4731},[628],[574,4733,799],{"className":4734},[628],[574,4736,4738],{"className":4737},[984],[574,4739,4741],{"className":4740},[640],[574,4742,4744],{"className":4743},[645],[574,4745,4747],{"className":4746,"style":4719},[649],[574,4748,4750,4753],{"style":4749},"top:-3.113em;margin-right:0.05em;",[574,4751],{"className":4752,"style":1000},[657],[574,4754,4756],{"className":4755},[662,663,664,665],[574,4757,961],{"className":4758},[1007,665],[574,4760],{"className":4761,"style":840},[839],[574,4763,796],{"className":4764},[844],[574,4766],{"className":4767,"style":840},[839],[574,4769,4771,4774,4777,4780,4783],{"className":4770},[619],[574,4772],{"className":4773,"style":1307},[623],[574,4775,4541],{"className":4776},[628],[574,4778],{"className":4779,"style":3995},[839],[574,4781,4658],{"className":4782},[1007],[574,4784],{"className":4785,"style":3995},[839],[574,4787,4789,4793,4859,4862,4865],{"className":4788},[619],[574,4790],{"className":4791,"style":4792},[623],"height:2.0074em;vertical-align:-0.686em;",[574,4794,4796,4799,4856],{"className":4795},[628],[574,4797],{"className":4798},[632,633],[574,4800,4802],{"className":4801},[593],[574,4803,4805,4847],{"className":4804},[640,641],[574,4806,4808,4844],{"className":4807},[645],[574,4809,4812,4824,4832],{"className":4810,"style":4811},[649],"height:1.3214em;",[574,4813,4815,4818],{"style":4814},"top:-2.314em;",[574,4816],{"className":4817,"style":658},[657],[574,4819,4821],{"className":4820},[628],[574,4822,605],{"className":4823},[628],[574,4825,4826,4829],{"style":674},[574,4827],{"className":4828,"style":658},[657],[574,4830],{"className":4831,"style":682},[681],[574,4833,4835,4838],{"style":4834},"top:-3.677em;",[574,4836],{"className":4837,"style":658},[657],[574,4839,4841],{"className":4840},[628],[574,4842,805],{"className":4843},[628],[574,4845,752],{"className":4846},[751],[574,4848,4850],{"className":4849},[645],[574,4851,4854],{"className":4852,"style":4853},[649],"height:0.686em;",[574,4855],{},[574,4857],{"className":4858},[777,633],[574,4860],{"className":4861,"style":840},[839],[574,4863,796],{"className":4864},[844],[574,4866],{"className":4867,"style":840},[839],[574,4869,4871,4874,4877,4880],{"className":4870},[619],[574,4872],{"className":4873,"style":1307},[623],[574,4875,1115],{"className":4876},[628],[574,4878],{"className":4879,"style":865},[839],[574,4881,4883],{"className":4882},[628,4570],[574,4884,4548],{"className":4885},[628],[565,4887,4888,4889,4933,4934,4995],{},"Eine ",[574,4890,4892,4912],{"className":4891},[577],[574,4893,4895],{"className":4894},[581],[583,4896,4897],{"xmlns":585},[587,4898,4899,4909],{},[590,4900,4901,4904,4906],{},[603,4902,4903],{},"8",[4543,4905,4545],{},[4543,4907,4908],{},"m",[607,4910,4911],{"encoding":609},"8\\,\\text{m}",[574,4913,4915],{"className":4914,"ariaHidden":615},[614],[574,4916,4918,4921,4924,4927],{"className":4917},[619],[574,4919],{"className":4920,"style":1307},[623],[574,4922,4903],{"className":4923},[628],[574,4925],{"className":4926,"style":865},[839],[574,4928,4930],{"className":4929},[628,4570],[574,4931,4908],{"className":4932},[628]," lange Rampe steigt unter ",[574,4935,4937,4954],{"className":4936},[577],[574,4938,4940],{"className":4939},[581],[583,4941,4942],{"xmlns":585},[587,4943,4944,4952],{},[590,4945,4946],{},[955,4947,4948,4950],{},[603,4949,1091],{},[794,4951,961],{},[607,4953,1096],{"encoding":609},[574,4955,4957],{"className":4956,"ariaHidden":615},[614],[574,4958,4960,4963,4966],{"className":4959},[619],[574,4961],{"className":4962,"style":974},[623],[574,4964,819],{"className":4965},[628],[574,4967,4969,4972],{"className":4968},[628],[574,4970,1115],{"className":4971},[628],[574,4973,4975],{"className":4974},[984],[574,4976,4978],{"className":4977},[640],[574,4979,4981],{"className":4980},[645],[574,4982,4984],{"className":4983,"style":974},[649],[574,4985,4986,4989],{"style":996},[574,4987],{"className":4988,"style":1000},[657],[574,4990,4992],{"className":4991},[662,663,664,665],[574,4993,961],{"className":4994},[1007,665]," an. Ihre waagerechte Länge ist",[574,4997,4999],{"className":4998},[4640],[574,5000,5002,5060],{"className":5001},[577],[574,5003,5005],{"className":5004},[581],[583,5006,5007],{"xmlns":585,"display":4649},[587,5008,5009,5057],{},[590,5010,5011,5013,5015,5017,5019,5025,5027,5029,5031,5039,5041,5043,5047,5050,5053,5055],{},[603,5012,4903],{},[794,5014,4658],{},[599,5016,2239],{},[794,5018,1737],{},[955,5020,5021,5023],{},[603,5022,1091],{},[794,5024,961],{},[794,5026,796],{},[603,5028,4903],{},[794,5030,4658],{},[593,5032,5033,5037],{},[596,5034,5035],{},[603,5036,605],{},[603,5038,605],{},[794,5040,796],{},[603,5042,819],{},[596,5044,5045],{},[603,5046,605],{},[794,5048,5049],{},"≈",[603,5051,5052],{},"5,66",[4543,5054,4545],{},[4543,5056,4908],{},[607,5058,5059],{"encoding":609},"8 \\cdot \\cos 45^\\circ = 8 \\cdot \\frac{\\sqrt{2}}{2} = 4\\sqrt{2} \\approx 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Fehler",[3361,5377,5378,5753,6041],{},[3364,5379,5380,5381,5543,5544,3824],{},"Sinus und Kosinus vertauschen: 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aber ",[574,5545,5547,5579],{"className":5546},[577],[574,5548,5550],{"className":5549},[581],[583,5551,5552],{"xmlns":585},[587,5553,5554,5576],{},[590,5555,5556,5558,5560,5566,5568],{},[599,5557,2239],{},[794,5559,1737],{},[955,5561,5562,5564],{},[603,5563,1026],{},[794,5565,961],{},[794,5567,796],{},[593,5569,5570,5574],{},[596,5571,5572],{},[603,5573,814],{},[603,5575,605],{},[607,5577,5578],{"encoding":609},"\\cos 30^\\circ = 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Der Tangens wächst mit dem Winkel, also ist ",[574,5901,5903,5931],{"className":5902},[577],[574,5904,5906],{"className":5905},[581],[583,5907,5908],{"xmlns":585},[587,5909,5910,5928],{},[590,5911,5912,5914,5916,5922,5924],{},[599,5913,2732],{},[794,5915,1737],{},[955,5917,5918,5920],{},[603,5919,1157],{},[794,5921,961],{},[794,5923,796],{},[596,5925,5926],{},[603,5927,814],{},[607,5929,5930],{"encoding":609},"\\tan 60^\\circ = 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